A new perspective for stability analysis of structures

Abdolrasoul Ranjbaran; Mohammad Ranjbaran; Fatema Ranjbaran; Ali Mohammad Rousta; Shamsodin Hashemi

doi:10.35453/NEDJR-STMECH-2021-0010.R3

Author(s)

Abdolrasoul Ranjbaran Department of Civil Engineering, Shiraz University, Shiraz, Iran,

Mohammad Ranjbaran Department of Chemical Engineering, Yasouj University, Yasouj, Iran.

Fatema Ranjbaran Department of Mechanical Engineering, Amirkabir University, Tehran, Iran.

Ali Mohammad Rousta Department of Civil Engineering, Yasouj University, Yasouj, Iran.

Shamsodin Hashemi Department of Civil Engineering, Yasouj University, Yasouj, Iran.

Abstract

The classical methods for stability analysis ofstructures contain some levels ofepistemic uncertainty. This paper presents an alternative methodfor the analysis ofsystem stability phenomena. The analysis is conducted by using a new method which is called the change ofstate philosophy. The phenomenon is considered as the change in the state of the system in this method. The basic principle in the formulation is the use of an equation in which the product of the key parameter of the system and its inverse is set equal to 1. Logical reasoning and mathematics principles are used to explicitly derive the basic theory. The results are presented as the Persian curve which is a superfunction of the state functions. The accuracy of the proposed method has been verified by using several examples related to the ultimate strength analysis of structural systems. The state functions are defined as explicit functions of the state variable. The state variable is an identification parameter of the system.

Publication Details

Page(s) 1-11

DOI 10.35453/NEDJR-STMECH-2021-0010.R3

Published Journal: NED University Journal of Research, Volume: 20, Issue: 1, Year: 2023

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Keywords

state functions, Persian curve, stability analysis., change of state philosophy, phenomenon functions, state variable